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Finding the Fourth Proportional to 259,606.50, 358,261.64 and 152,253.96

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Solution

The fourth proportional to 259,606.50, 358,261.64 and 152,253.96 is: 210,113.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,606.50 : 358,261.64 = 152,253.96 : x
  2. Step 2: Convert to fraction form
    259,606.50/358,261.64 = 152,253.96/x
  3. Step 3: Cross multiply
    259,606.50x = 358,261.64 × 152,253.96
  4. Step 4: Simplify right side
    259,606.50x = 54,546,753,406.09
  5. Step 5: Solve for x
    x = 54,546,753,406.09/259,606.50
  6. Step 6: Final answer
    x = 210,113.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.